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Simplifying 2(-3.1t + 18.3) = 5.1 + -13.7t Reorder the terms: 2(18.3 + -3.1t) = 5.1 + -13.7t (18.3 * 2 + -3.1t * 2) = 5.1 + -13.7t (36.6 + -6.2t) = 5.1 + -13.7t Solving 36.6 + -6.2t = 5.1 + -13.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13.7t' to each side of the equation. 36.6 + -6.2t + 13.7t = 5.1 + -13.7t + 13.7t Combine like terms: -6.2t + 13.7t = 7.5t 36.6 + 7.5t = 5.1 + -13.7t + 13.7t Combine like terms: -13.7t + 13.7t = 0.0 36.6 + 7.5t = 5.1 + 0.0 36.6 + 7.5t = 5.1 Add '-36.6' to each side of the equation. 36.6 + -36.6 + 7.5t = 5.1 + -36.6 Combine like terms: 36.6 + -36.6 = 0.0 0.0 + 7.5t = 5.1 + -36.6 7.5t = 5.1 + -36.6 Combine like terms: 5.1 + -36.6 = -31.5 7.5t = -31.5 Divide each side by '7.5'. t = -4.2 Simplifying t = -4.2
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